A. Tsymbaliuk

activity

20182022

most citedToward CUPID-1T

5 citations · 9 across the 3 of their papers we have counts for

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math.RT2019

Shuffle algebra realizations of type $A$ super Yangians and quantum affine superalgebras for all Cartan data

Alexander Tsymbaliuk

We introduce super Yangians of $gl (V), sl (V)$ (in the new Drinfeld realization) associated to all Dynkin diagrams of $gl (V)$ , where $V$ is a finite-…

math.RT2018

Shifted quantum affine algebras: integral forms in type $A$ (with appendices by Alexander Tsymbaliuk and Alex Weekes)

Michael Finkelberg, Alexander Tsymbaliuk

We define an integral form of shifted quantum affine algebras of type $A$ and construct Poincaré-Birkhoff-Witt-Drinfeld bases for them. When the shift is trivial, our integral form…

Shuffle algebra realizations of type A super Yangians and quantum affine superalgebras for all Cartan data

Shifted quantum affine algebras: integral forms in type A (with appendices by Alexander Tsymbaliuk and Alex Weekes)

Shuffle algebra realizations of type $A$ super Yangians and quantum affine superalgebras for all Cartan data

Shifted quantum affine algebras: integral forms in type $A$ (with appendices by Alexander Tsymbaliuk and Alex Weekes)